Question

The value of x for expression (7/9)^-4 ×(7/9)^3x is (9/7)^-5 is
a. 3
b. -2
c. -3
d. 1

please give answer with explanation​

Answer 1

Answer:

a. 3

Step-by-step explanation:

(7/9)^-4 × (7/9)^3x = (9/7)^-5

=> (7/9)^[-4+3x] = (7/9)^5

When the bases are same, we equate the powers.

=> -4+3x = 5

=> 3x = 5+4

=> 3x = 9

=> x = 9/3

=> x = 3